{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Duplicate key in file PosixPath('/Users/hsy/opt/anaconda3/lib/python3.8/site-packages/matplotlib/mpl-data/matplotlibrc'), line 251 ('font.family:  sans-serif')\n",
      "Duplicate key in file PosixPath('/Users/hsy/opt/anaconda3/lib/python3.8/site-packages/matplotlib/mpl-data/matplotlibrc'), line 259 ('font.sans-serif: DejaVu Sans, Bitstream Vera Sans, Computer Modern Sans Serif, Lucida Grande, Verdana, Geneva, Lucid, Arial, Helvetica, Avant Garde, sans-serif')\n",
      "Duplicate key in file PosixPath('/Users/hsy/opt/anaconda3/lib/python3.8/site-packages/matplotlib/mpl-data/matplotlibrc'), line 402 ('axes.unicode_minus: True  # use Unicode for the minus symbol rather than hyphen.  See')\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "import numpy as np\n",
    "mpl.rcParams['font.sans-serif'] = ['SimHei']\n",
    "mpl.rcParams['axes.unicode_minus'] = False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 图例和标题\n",
    "x = np.linspace(-2*np.pi, 2*np.pi, 200)\n",
    "y_1 = np.sin(x)\n",
    "y_2 = np.cos(x)\n",
    "\n",
    "'''\n",
    "matplotlib 支持Tex公式输入，格式为：`r$formula$`\n",
    "r表示该字符串为raw strings，字符串按照Tex规范解析。\n",
    "\n",
    "对于两个美元符号之间的非数学公式字符串会按照泄题的形式输出，呈现印刷级别的文档效果\n",
    "'''\n",
    "plt.plot(x,y_1, label=r'$\\sin(x)$')\n",
    "plt.plot(x,y_2,label=r'$\\cos(x)$')\n",
    "plt.legend(loc='lower left')\n",
    "plt.title('正弦余弦曲线图')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 图例样式的调整\n",
    "\n",
    "x = np.linspace(-1,10,100)\n",
    "y_1 = np.power(x, 1)\n",
    "y_2 = np.power(x, 2)\n",
    "y_3 = np.power(x, 3)\n",
    "\n",
    "plt.plot(x, y_1, ls='-', lw=2, color='r',label=r\"$x^{1}$\")\n",
    "plt.plot(x, y_2, ls='--', lw=2, color='g',label=r\"$x^{2}$\")\n",
    "plt.plot(x, y_3, ls='-.', lw=2, color='b',label=r\"$x^{3}$\")\n",
    "\n",
    "plt.legend(loc='upper left',\n",
    "\tbbox_to_anchor=(0.05,0.95),  # 将图例的左上角放在整幅图的（0.05， 0.95处\n",
    "\tncol=3, #图例分成3列\n",
    "\ttitle='power function',  # 图例的标题\n",
    "\tshadow=True,\n",
    "\tfancybox=True) # 控制图例圆角或方角\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 标题的样式\n",
    "plt.plot(x, y_2, ls='--', lw=2, color='g',label=r\"$x^{2}$\")\n",
    "plt.legend(title='legend title')\n",
    "plt.title('center demo')\n",
    "plt.title('left demo', loc='left', fontdict={'fontsize':6, 'color':'r','family':'Comic Sans MS','style':'oblique'})\n",
    "plt.title('right demo',loc='right', fontdict={'size':'xx-large', 'color':'b','family':'Times New Roman'})\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 案例3 带图例的饼图\n",
    "## pie 分裂式饼图\n",
    "elements = ['简易箱','保鲜箱', '行李箱', '密封箱']\n",
    "colors = ['#e41a1c', '#377eb8', '#4daf4a', '#984ea3']\n",
    "sold_nums = [0.05, 0.45, 0.15, 0.35]\n",
    "explode = (0.1,0.1,0.1,0.1)\n",
    "wedges, texts, autotexts = plt.pie(x=sold_nums,\n",
    "\t\t\t\t\t\t\t\t\tlabels=elements,\n",
    "\t\t\t\t\t\t\t\t\tautopct=\"%3.1f%%\",  # 饼图内部显示的数字格式\n",
    "\t\t\t\t\t\t\t\t\tstartangle=60,  # 偏离角度\n",
    "\t\t\t\t\t\t\t\t\tcolors=colors,\n",
    "\t\t\t\t\t\t\t\t\texplode=explode)  # 设置偏离半径的百分比\n",
    "\n",
    "plt.legend(wedges, elements, fontsize=12, title='占比', loc='center left', bbox_to_anchor=(0.9,0,0,0))\n",
    "plt.setp(autotexts,size=15,weight='bold')\n",
    "plt.setp(texts, size=12)\n",
    "# Set a property on an artist object.\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 2 Axes>",
      "image/png": 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gEMUCvN4/iKj4DN5edoK63i50rF/8FLk7nguHYOVrqg/QoI+0XUG1ekS1F9j1KZec6vPKhuqE+Hnw/shgTQuCBofU5MTFNL7cGkWTmh480M6yqXcViqvxsHAMuNWAe37QfVD0ZlTclTqArT3c+xN5bn7U2vQcHapL3h3eTPMKPFsbwcf3NadeVReeX3CYOCOwVTyykuGPh8HFR+UJ2+qgDUO/98mv1YEqm8bR2j6ar8a01kVjt/F9G9K1QVXeXnacA9FJWsspHxTkK3daZiKM+tls5f7WpmIbdSDbzp2XCl6iMml85/kDTmYoLDIHbk72fP5gK7JyC3jl9yMUmIwB4LdESvjrWUi7qFZQOnngpI0dbzlMJEm68VWlL6jupI/MJlsbwaf3taCmpzPP/3qYlEwjcHpbNr0D0dth0FyoEaK1mlKjDwtnQd5fHc6qBB/OtZqEc/R62POF1pKuU9/HlWlDm7ArKpEvtliui3GFYPdnELFKpZXVaqO1muv8eegCC05ksrv5TJzSz8HqiVpLuo5HJXs+vb8FCVdzmLTkGJYuNCzXnNmiMl1aj4Xm92utpkxUaKO+9VQ8P+yK5tFO/gQOehUaDoT1U5RfVifc08qPISE1+WjDaWObXBSXj8OGadBoELR/Rms11zmbkMGUpcdpX7cKQ4feo3oPHfkFji/WWtp1gv08ebVPA1Ydu8yig7Fay9EnWcmw5BnwbgB9ZmitpsxUWKOenJHL+D9CCfRxZWK/RiqgNvQzcPVRHfzy9OHHFkIwY3hTfD2deem3I1w1Kk7/SX4uLHla9aYe/IluUsvyCky89NthHOxs+GhUc2xtBHR/XfWHWf4ypJzXWuJ1nupaj/Z1qzB12QmiEzK0lqM/Vr4GGVdgxNc3b8tczqiQRl1KyaQlx0jOzGXufc3/DlxVqgJDPoGEU6pJk05wc7Lno1EhXEzNYubqcK3l6IttsyDumDLoLl5aq7nOl1uiOBqbyvsjmlHDo7Cvua09jPwGZIEqjNKJu8PWRjDn3ubY2drw6kIjfvMPji2C43+qL+SaLbRWYxYqpFFfeewSq49f5tXeDf87JaZ+L5XfvOsTlY+qE1rVqcKjHQP4ec85dkfdvPz8jiP2oBp00fxBaDRAazXXORWXzqebIhkUXIN+Tf81QKNKXeg9TfloD/+iib6bUdPTmWlDmnDofAo/7Y7WWo4+SI+Dla+CX1vo9IrWasxGhTPqKZm5TF12gma+HjzRpYh89L4zVB7q0md144YBlYZWx6sSE/88avSHyc9RvczdakA//eyqCkySCYuO4uJoy7QhTW5+UKuxUKcTrH1TjdPTCUOb16R7w6rMWhNhNP4C1XkxL1v13betOCU7Fc6ov7sqjOTMPN4f2Qw72yLenpOH2s7Hh6vtvU5wdrBl5shgzidl8sHaCK3laMvOjyEhAgbPVf9eOuH7nWc5EpPC1CFN8HItojDFxka1Zy3IgVXjdOOGUfGbZtgIjGyYiNVw8i/VqMs7UGs1ZqVCGfWdkQksPBDLk12LMZw3sBeEPKCMxxX9+LHb1/ViTPs6/LgrmmOxqVrL0YaESNj2ITQZoWY+6oTziZl8uC6CXkE+DAm5zdBzr3rQY5JqCXzyL6voKw6+ns5M7N+I7acT7txsmOw0FRz1aQydXtJajdmpMEY9O6+ASUuO4e9ViZd6FvObt890NVF+5Wu6WU0BjO/XkCoujrz517E7L6glJax8BeycdOV2kVIydfkJbIVg+rCmxatKbv+cKmJZ/bqa0KUTRrerQ+s6lZmxKuzO7Oa4aboqYhv8Cdg5aK3G7FQYo/7V1jOcS8zk3eHNil+m7eKtglrndqgJ8jrB3cmetwYFcTQ2lV/36Sc1zioc/R3OboNeb4Nbda3VXGf9yTg2hV/h5V4N/s52uR22djDwI7gapwal6wQbG+WGSc/OZ9ad5ua7eBj2fQNtn9BVEZs5qRBGPTY5k8+3RDKwWY2SN8dq8ZCKfq+brKbI64QhITXpWM+LWWvCiU/P0VqOdchOU8FFvzbQ6lGt1VwnK7eAactP0qCaK4908i/Zi/1aQcuHVCVz3EmL6CsNDau78WhHf37bf54jMSlay7EOJhOsGq8Wc3dN1lqNxagQRv3dVWEIAZMGBpX8xTY2MGiOqiq7ofe61ggheGdoU7LzCnh31R3Se33HR5CZAAM+UP8uOuGzzae5kJLF9KFNsS8q+H4rek0FJ3ddBU0BXuoVSFVXR6YsPX5nuPlCF0Dsfuj9jq6C7+ZGP09OKdkZmcCqY5d5rnt9fD2LuS3+N9Wbqe3YwR9USbpOqO/jypNd67Lk8AUOntPPLsIipMbCns+h2b26KgI5m5DB19vOMKKFL+3qlrL4qVIVZdjP7VTuJZ3g5mTPmwOVm++3/RXczZeVokbT+bWF4Pu0VmNRyrVRzyswMXXZCWpVcS77lJluE9W399o3dLWaerZ7fXzcHHlnRRimirya2vQ/dd97vqW1kn8wc3U4DrY2vD6gUdlO1OIh8G0FG6ZCrn5K9YeE1KR93Sp8sDaiYndy3PK+Ghqus12gJSjX7+6n3ec4feUqbw1sXPYe1pWqqDmEZ7epboA6wcXRjgn9GhEak8LS0Atay7EMF4+oQHX7Z8BTPwMdDkQnsebEZZ7qVg8fN6eynczGBvq+B+mXVBqtThBCMGVQE1Kz8vhkYwXtFBp/CvZ9rYaa1GyutRqLU26Nenx6DnPXn6Jrg6r0blzNPCdt9ShUbaSCdfn6CU6OaOFLM18PZq6OqHiVplKqILVzZejyqtZqriOl5N1VYfi4OfJ4UZXJJaV2O5V7v/MTSNXPF3Tjmu6Mal2Ln3ZHcyb+qtZyzM+GqWBfqUIHR2+k3Br1D9dGkJVXwNuDG5tvkpGtHfR9F5LPwt4vzXNOM2BjI5gyuDGX07L5ausZreWYl9Pr1GCC7m/oKni1+vhlDp1P4dXeDajkYMYS8t7TQJpg4zTzndMMvNqnAY52NrxX0RrKndsFESuh88sq6+UOoFwa9fDLafxxMIaHO/pTr6qreU9evycE9oWtH8DVK+Y9dxlo41+FQcE1+GpbFBdTsrSWYx4K8mHdW1ClHrTWTwpjbr6JmWvCaVDNlXta1zLvyT1rQ4fnVMBURw3lfNyceLZHfdafjGNXVILWcszDtV2gW001iP4OoVwa9Zmrw3F1tOOFuyw0sb3vDMjPUsE7HfF6/0aYJMxcU0FWU4d/Uv1dek/Tx7zRQubvPce5xEze6B+k+qSbmy6vqjmrayfpKij/WOcAfD2d+d+KsIqR4nhiCVw4CHe9WSH6pBeXcmfUd0UmsDkinud61MezkoVKfL0Doe1TcOgnNS1eJ/hVrsSTXeqy9MhFDp5L1lpO2chJh83vQe0OaqKRTlABw9N0rOdF94ZVLXMRRzeV5ROzRxkeneBkb8vE/o04eSmNP8t7X5j8XOXi8mkCIeV7PF1JKVdG3WSSvLs6DF9PZx7u6G/Zi3Ubr3y869+27HVKyDPd61HVzZF3V4WV7y57Oz9R02b6/E8304wAvtgSRXJmHpMGBJkvVnMzmj+o6iPWv62r9s+Dg2vQorYnH6yLIKM8T+E6MA+So1WhkU0ZM+PKGeXKqC8LvcjxC2mM69ug7CmMt8O5MnQdB1Eb1cADneDiaMfLvQI5eC6ZdSfjtJZTOtIuwq5PoelI8GuttZrrXEjJ4rudZxnewpemvhYO2trYqqB86nldBeWFELw1qDHx6Tl8tTVKazmlIysFts6CgG4qRnaHUW6MenZeAR+sjaBJTXeGhvha56JtngCPWmpYtclknWsWg1Gta1G3qguz1oSTX6AfXcVm0ww18q3nFK2V/IPZhc2tXuvTwDoXDOiqgvLb5+iq71DL2pUZFFyDr7ef4XKqfnYRxWbnXMhKUl1YdbQLtBblxqj/vPscF1KymDQgCBtLBK9uhr0T3PUWXAqFE/qZEG9na8OEvo2Iis9g4YFy5vu8fAyOzIe2T0Jlf63VXOf4hVSWHLnAo5388atsxaBa73cgN12tLHXExH6NMJlgzvpy1sUxNVY1Twsepdoe34GUC6OekpnLp5tO061BVTqVtAtjWWl2j/J9bnxHVwVJfZtUo1Wdyny04VT5KkhaP0XFKrqO01rJdaSUvLc6DE9ne57tbqGMqqLwaaRm5u7/FpL0U4NQq0olHupQhz8OxhJ+OU1rOcVn0wyVUXSHFBrdjHJh1P9vcyTpOfm83r+M/TdKg40N9JoGKefgwHfWv34RCCF4o38j4tNzmLf9rNZyikfkBojapPrsOFfWWs11tp6KZ2dkIi/cFYiHswaplT0mga0DbNBXQdLzd9XHzdGO91aVkxTay8dUJ8Z2T+mq3YS10b1Rj0nK5Mdd57i7pR9BNdy1EVG/J9TtrrbI2foZMdfavwq9G1fjq21nSLyqn13ETTEVqEKjygHQ5nGt1VynwCR5b1U4dbwqMbp9HW1EuFWHTi+qsXcx+7TRcBM8Kznwwl2BbD0Vz47T5aAg6douUEftJrRA90b9w3UR2NioMmZN6TVNBV92zNVWx7+Y2K8hmbn5fLpJ582YjsyHKydVC1odjRD782AsEXHpTOjbCAc7DR+HDs+DazVVAamjVNWHOtbBr7IzM1bpvCApcmPhLnCCrnaBWlDiT7EQwkkIsUIIESqE+FlYMJn3WGwqS49c5LHOAcUfIWYpajZX/vU9X6iUPJ1Q38eNUW1qFVZB6qel6z/Iuap8nX5tofFQrdVcJzM3n9nrI2hR25MBzTQenefoqtwwMXshbLm2Wm7A0c6WCf0aEXYpjSWH9dOE7B+YClS+v2cdXe0CtaI0S5PRQKyUMgSoDFhk3Pu1LnlVXBx4qls9S1yi5Nw1WaXibX5XayX/4OVeDbC1EXyg13mTuz+Dq5d1V2g0b/tZ4tJyeNPShUbFpflo1SV0w1QoyNNazXUGB9cgxM+D2esiyM4r0FrOfzm6EOKOqRRZO0et1VxHq/70pTHqdwHrC3/eBPQwn5y/2RIRz+4zibx4V33cnXTSF6Syv1oJHJkPV/QTPKrm7sTjneuy4uglQvU2bzL9sqoebTxUtZ7VCfHpOXy5NYq+TarR2r+K1nIUtnYqxTEpCg58r7Wa6wghmDQgiEup2czbobOgfF5hj6aaLVRbY52QlVtAv7nb+WCt9e1EaYy6F3AtWpgG/OeJEEI8KYQ4IIQ4EB8fXyph/t4ujGlfhwfaaRS8Koqu48HBTa2mdMRT3epSxcWB91eH66t9wOZ3oSAXeuqr3cLHG0+Rk29iYj8NMqpuRWAf8O8CW9/XVVC+XV0vegVV44stUfoKyu/9EtJiofd0XU00+n7XWS6nZdMl0EL9g25Bae5CAnCthtqj8O//QEr5tZSytZSyddWqpXtTAd4uTB/WVNvg1c2oVEX1Zj61GqJ3aq3mOm5O9rxwV312n0lky6nSfZGanbiTcPhnNf/VSycuNCDyylUW7IvhgXa1qWvu1s1lRQhVCZmZqLug/Ov9G5GVV8AnG09rLUWRkaiqcRv0g4AuWqu5TlJGLl9sjqJnIx/al3aubRkojcXcCPQp/PkuYLP55JQT2j+jejSvf0tXmQoPtqtD7SqVmLk6XB+ZCuunqI6EXcdrreQfzFwTjrO9LS/1DNRays2p2UIN4N7zuaqQ1An1fVy5r00t5u89r48JSds+gNyrKjNNR3y2KZKM3HwmalFXQ+mM+nzAVwhxFEhCGfk7C3tn1aP5wkFdtU51sLNhfN+GhF9OZ/EhjY1B1CaIXA9dxqndjU7YdzaJ9SfjeKZ7Pbxc9RNU+w89CxcMm2ZoreQfvNxLTUjSvKd/0hlVhdtijKrK1QnnEzP5eU8097SqRYNqbppoKLFRl1LmSCkHSSmDpZRjpK4cuFYk5H7Vq3njNF21DxgUXIOQWp7MXneKrFyNMhVMBbBuiqrqa/ukNhpugpSSGavCqO7uxNhOZpo7aik8a6vKyNAFuurpX9XNkae71WPtiTj2R2vYhGzjO2qwSvc3tNNwEz5cF4GtjeCV3trV1ejMYV2OsLGFPu+ons3752mt5jpCCN4cEMTltGzm7dCol8jR3wtTzN5WTdF0wrXsoNf6NMDZoRz02O7yGjh7qkpcHfF4l7pUc9ewp3/sAbVD7vA8uNew/vWL4GhsCstCVV1NdQ/tPveGUS8L9XtB3R6wbZbq4awT2gao9gFfbIkiPt3Ku4jcTNg4HXxbqX7pOiEnv4BZa8NpVN2NES39tJZTPJw9oesEOLNZ9c3RCc4OtrzWuyGHz6ew6thl615cSvUl51JVtVbQCVKqdhN6qKsxjHpZ6TNdGfTts7VW8g9e79+I7HwTH288Zd0L7/k/SL+ou0Kjn3efIyZJtW62yNxRS9HmcVUfsW6KcmvphJGt/GhU3Y2Za8LJybeirojVcH4XdH9dBeF1wpZTqq7mBR3U1RhGvaxUb6b863u/gpTzWqu5Tr2qrjzQtjYL9sUQecVKmQpXr6g0vEaDoE5H61yzGKRm5vHppki6BHrTtYH184bLhJ2D6pdz5YTyr+sEWxvBGwOCOJ+UyS97rPS5L8hTGVVe9aHlw9a5ZjEoMElmrg6ndpVKPKiDuhrDqJuDuyarVenG6Vor+Qcv9QrE2d6W91dbKVNhy3uQn62/FLPNp0nLzuON/kFaSykdjYeBXxtVOZmbqbWa63RrUJUugd58uuk0qVlWaGtw4HtIPK0KjWx1UmUOLD4US/jldMb3baiLuhrtFVQEPHyh/bNwbCFcPKy1mut4uzryTPd6bAiLY++ZRMteLO4kHPwBWo8FbysPmrgF0QkZ/LArmnta+dG4pkatm8uKEMqdlX5Jubd0xBv9g0jNyuPzzRbuEpqVrBYNAV2hYX/LXqsEZOcVMGf9KUL8PBjYTB9BW8Oom4vOL0MlLxXE0VGW59hOAVR3d+LdVWGYLFWQJCWsnQSO7rpLMXtvdRj2tjaM69NQayllo3Z75dbaMVe5uXRC45rujGjhx/e7oolJsuAuYtuHyrD3maGrWM3X285wKTWbN6w5ZvM2GEbdXDh5KIMWvR1Or9NazXWcHWwZ17chobGpLD9qoZbBp9epDI3ur+uq0GhXVAJrT8TxXI/6+LjrJ7Wy1PSaptxbW97XWsk/GNe3AQKVo20REqNUzKrFaKgRbJlrlILLqdl8sSWK/k2ra9IOoCgMo25OWj2igjjrp0CBfuaGDm/hS1ANd2atsUDr1II8tUr3CtRVL+sCk+R/K8Lw9XTmsc46LzQqLt71odWjys0Vb+WspltQw8OZx7sEsPTIRY7Gppj/AuunqHF/Ops7OnNNOAVSMmmAvmI1hlE3J7b2qnVqfLgqYdYJtjaqIOlCSpb5W6fu/xYSI6HvDF0FrxYdjOHkpTRe798IJ/tyUGhUXLq/DvaVdNcl9Olu9fBycTB/QVL0DghfAZ1fUWP/dMKh88ksOXyBxzsHUKtKJa3l/APDqJubhgOg3l2q5exVnXRLBDoHetOncTU+2xTJpdQs85w0M0kFr+rdpVrG6oSrOfl8sPYUrepUZlCwPoJXZsPFW8VvIlbCuV1aq7mOm5M9L/UKZM+ZJDaFm8nnbzKpXaC7H3R83jznNAMmk+Sd5Sep6ubIsz30kxRwDcOomxshoN9MyMtQfWF0xFuDGmOSkhkrw8xzwi3vQ0469H1XV8GrL7ZEknA1h7cGNdbHRCNz0/5Z1SVUZ/NM729bm7reLry3Opz8AlPZTxi6AC6FQq+3VRM9nbA09AJHYlKY0Lchro52Wsv5D4ZRtwRVG6j2vId/gdiDWqu5Tq0qlXi6Wz1WHL3E7qgypjjGRyjXS+ux4KMfn+L5xEy+2X6W4S18aV7LU2s5lsGhkvIvXzgIx//UWs117G1tmNCvEZFXrvL7gZiynSwrRfnS/dpC07vNos8cZObmM3N1BMF+HozUabsJw6hbiq4T1HT4VePUNlInPNO9Hn6VnZm67AR5pV1NSQkrX1Nl2t0nmVdgGZBSMnX5CexthP4mGpmbkPugerBKoc1J11rNdfo2qUZb/yrMXneqbDM6N8+ArCQY+KGuJhp9sSWKy2nZTBnUWDcpjP9GP3erouHkroKmFw+pmaY6wcnelrcGNSYiLp2fd58r3UmOLVKpm73eBhf9pHKtPxnHpvArvNyrgaZd8qyCjS0M+kgVJOkoxVEIwbShTUjNymNWaQehXzpauAt8DGqEmFdgGTgTf5Wvtp5haPOa+plrexMMo25Jgu+FWu1VpoKOujj2aVyNrg2q8tH6UyXv4pidqoJXvq101X8jMzefactP0rCaG4908tdajnXwaw2tHoY9X0DcCa3VXCeohjuPdPRnwb7zHD6fXLIXSwmrxoNzFTWIRidIKXlr6XEc7W14c6B+3I03wzDqlkQIGDBLzZvcrJ8JNkII3h7cmOz8gpJPsNk0AzITYOBstVrUCZ9tiuRCShbThzXF3vYO+lj3fFsVvq14VVduvld6N8DHzZHJfx0vWdD0yK8Qswd6TwPnypYTWEKWhV5kZ2QiE/o1wsdN37vAO+jTrxE1QtT0n33fQMw+rdVcp15VVx7rXJdFB2PZFfmf2eE35+IR2P+N2hbXbGFRfSXhdFw632w/w4iWvrQN0O+22CJUqqLcfDF7IPRXrdVcx9XRjimDmnDiYho/7ymmm+/qFbULrNUeQh6wrMASkJqVx/QVYYT4efBA29pay7kthlG3Bj3fAndfWPYC5JcheGRmXu4ViL9XJV5ffOz2o+8K8mDZ82o4gY4q+wpMkvGLjuLqaKe7yj6r0fxBqN1BGcR0Kw+tuAUDmlWna4OqfLg2gtjkYvSFWT0R8jJhyKe6Co7OWhNOUkYOM4Y3Kxe9+PVz5yoyjm4weK6qNN0xR2s113Gyt+W9EcGcT8pkzvrbBLV2zFWzMgd9pCby6ITvd57lSEwKU4c0wVvPg6QtiY0NDPlMzcpd+ZpucteFEMwY1hQJvLH42K0rTSNWw4nF0G2CSgnWCbsiE5i/9zyPdgqgqa+H1nKKhWHUrUVgb2h2j+o2d8VMxT9moEM9Lx5oV5t5O84SGpNy84OuhMHWmWo8XaOBVtV3K6ITMvhwXQQ9G/kwJKSm1nK0xbs+9JikSupPLNFazXVqVanEG/0bsf10AguLyl3PTlUxAZ8m0PEl6wq8BRk5+Uz48ygB3i7lqsunYdStSb/31ar9r2eVO0MnvN5fBX8mLDr634ZfBflKr5M79J+ljcCbYDJJXl98FHsbG2YMb1YxK0dLSvvnoGZLVRuRUcw4iRV4sF0d2tetwv9WhN28RcXaN+HqZRj6qZr0pBPeWx3GhZQsPrg7uHwMKi/EMOrWxMVbuWEuHlIrX53g7mTPeyObERGXzgf/zi3eOVfpHfCB0q8Tvt8VzZ4zSUwaGFTxc9KLi60dDP0/yE6DFa/oxg1jYyOYOTKYfJPk9T//5YY5uQwO/6wadvm20k7kv9gVmcAve87zWKcAXeek3wzDqFubxkOh+Wg1qPrcbq3VXKdHQx8e7lCHeTvOsu1UYSOymP2qMVmTEeqPTjhxMZWZq8PpFVSN+9rU0lqOvqjWWAWyw5bBoR+1VnOdOl4uvN6/EVtPxfPdzmj1y7SLsPxFlUmlo+EqyRm5jPsjlLreLozrW37cLtcwjLoW9H8fPOvA4ieVP1EnvDEgiEAfV177I5TkpAT4c6wa1TfoI9007MrMzefFBYfxrGTPrLuDDbfLzej4ItTtDqtfhytWmk9bDB7qUIdeQdV4f3UYx2KS4a9nVHB3xDe6adsspWT8olDir+Yw977m5bJts2HUtcDRTX2Q0y7oapvsZG/Lx/e1IDUzl9PzHkOmXoCR83SV7TJ9xUnOJGTw0ajmVHHRj/9VV9jYwPCvwMEFFo2FvGytFQEqG+aDu4PxcnFkx89T4cwW1YffO1Bradf5bmc0G8KuMGlAEMF+nlrLKRWGUdeKWm1UtsLxP1WZt05oXNOd74JP0jZjC3vrPA212mot6TpLj1xgwb4Ynupaj0719ePf1yVu1WH4l3DlBKzVj2ujsosD33fL5MmcHwl164ps+YjWkq4TGpPC+6vD6N24Go909NdaTqkxjLqWdH5VDRNeNxnObtNajeLcbjpFvE+YSxsejOjApvA4rRUB6oGbsOgobQOq8Fof/eQx65rA3tDpZTjwHeyfp7UaRcp5gna8SGolfx6If5h51/zrGhOfnsOz8w/h4+bEB+XcrWcYdS2xsVGrKa/68McjkHJeWz3J5+D30YjKdfB/8nca1fDkpQVHiIq/qqmsK2nZPPnzAbxdHfniwZZ3Vm+XstJzCgT2hdUTtF845GXBbw+CqQDPsX/QtWkAM1aFab5wyM4r4MmfD5CYkcMXo1viWal8u/WMp0NrHN3gvvkqb33BA9p1c8y5CgvuB1Me3P87zh5efDWmFfZ2Njz50wGSM7Rpb6AeuIOkZ+fz7cOt8bpTq0ZLi40tjPxWLRwWPgRJZ7TRYSqAJU+rquSR32BTNZDZ94bQpKY7Ly44QsRlbXrCm0yScX+Ecvh8CnNHNS+3fvQbMYy6HvAOhHt+UG0EFtwHucXok2FO8rJh4Rh1/Xt+UNWJgF/lSnz+YEtikrN45Pt9pGdbt2AqN9/Ec/MPcSQmhTn3hhBUw92q168wOLnD/QvUz7/cbf3+MFKqhICTf0Gf/0GDvgBUcrDjm4daU8nBlrE/7OdCiplm55aAOetPseLoJV7v34h+TSvGPFvDqOuF+j1h5DcQs1cZWGs1/srPUdeL2gRDPlFDpG+gfV0v/u+Blhy/mMZjPx64feMvc8kqMPHSb4fZGH6F6cOaVpgHTjOq1IUHFsLVOPhxsOqIaA2kVGPpDv0IXcb9Z4B0DQ9n5j3chrTsPO7/eo/5hqIXg082nuazzZGMal2Lp7rWtdp1LY1h1PVEk+EwaC5EboDFj1vesBfkwR+Pwul16rotRt/0sN6NqzHn3hD2RyfxzPyD/20lYG5ZJslrf4Sy+vhlJg8MYkz7Oha93h1DrbbKsKfGwo9DLN9KQErYOgt2fQJtniiyu2czPw9+GtuW5Ixc7v96D5dTLZuCKaVkzvpTzFl/ihEtfHl3RMVqM2EYdb3R6mHo+y6cXAq/3Q+5GZa5Tm4G/D4aIlbCgA+h9aO3PHxoc19mDGvGloh4Hv5uH2kWcsVk5xXwwoJDLD1ykfF9G/J4l4qzgtIF/p3g/t8g+Sz8MEgZeEtgMqmsri3vQsj9qm/QLQxni9qV+WFsWxKu5nL/N3s4n2gZF6SUkg/WRvDJxtPc08qPD+4JKRftdEuCYdT1SIfnYPAnyiXyXT9IKeNk9n+TGgvfD1Ar9IFzoO0TxXrZA+1qM3dUcw6eS+buL3YRnWDeL5wr6dmM/nYvq46pFfpzPeqb9fwGhdTtBg/+oYrfvukJFw6a9/w5V5VLb/dn0O5pGPp5sfqjt6pTmR/HtiU5M5fhn+9kf3SSWWVl5xXw0m9H+HxLFPe3rcXMkcEVzqADiFv2ODYDrVu3lgcOHLDoNSosp9erikBbe9WoqWF/85xzyVPKlz7y21Kdc2dkAs/9egiTSfLeiGAGBpfd370rMoGXfz9CenY+H94TYpZzGtyGuBPw632qQ2KfGdDm8bIPp7h0FP58HBJPqx1nu6dL3GLiTPxVxv6wn5jkLMb3bciTXepiU0bjG3klned/PUxEXDrj+zbkmW71dO9yEUIclFK2LvHrDKOucxJOw6JHVSpYyP1qdJmrT8nPczVeDcA+8gv4NIZ7fypTeXZMUibPLzhMaEwKg4JrMHlg41J1S0zOyGX2+gh+2XOeut4ufD66JY2qG1kuViMzSX3Jn14H/l3Uzq00QypyM2HHR6qrp3MVGPGV6j9TStKy85i46Cirj1+mVZ3KvDu8GQ2ru5X4PDn5BXyz7QyfborE1dGOD+8NoUfDUjw/GmA1oy6EsAcWSykHF+d4w6ibgfwc1ap35ydg56hmnrZ7SpWC3470ONj/rWpFkJcJnV6CbhPBvuztavMKTHyxJYrPNkdiZyMY3b4OYzsFFMu4J2Xk8suec3y7/QxXc/J5pGMA4/s2LFd9qysMUsKhn5QPPDcDWjwIHZ6HqsXoUJiTroZF75gL6RfVIJh+M8HFywyyJEsOX+CdFSdJzcpjeAtfnuxat1hf+pm5+Sw5fIHPN0dxISWLAc2qM3VwE3zcy0+bZqsYdSGEM7AXaCClLNbdMYy6GYk/pQJPJ/4CYQP1ekD9Xqp1qWdtsHdWK6bUWLh0RK2+zmxVBUVBg9XkeQs0T4pJymT2ugiWhV4EoGM9b7o1qEpILU9qVXHG2d6WnHwTF1KyOH4hla0R8Ww7HU9egeSuRj5M7NeoVKswAzOTkaAWDwd/hIIc8GsDDfqBX2uo7A9OHiojK+2Cct2c2azG0OVlqhmpd00G/85ml5WckcsXW6P4cVc0OfkmQvw86BlUjea1PAnwdsHdyZ7cAhNxadmEXUpjZ2QCG8KucDUnn+a1PBnXpyGdA8tfryCrul+EEJFSymJFsQyjbgESIpUb5eTSW1cIVvaHoCHQ6hHwqmdxWecTM1l0MIYVRy9x5hZBVF9PZ/o3rc6oNrUIrGYYc92RkaBW7ieXqsVBUbj4qJhMi9HqC8DCPurkjFwWHYxlxbFLRY9eBLxcHOjRyId7W9eijX9l3fvOi8IiRl0I8TkQfMOvtkkpJ93OqAshngSeBKhdu3arc+fOlVSXQXFJjVUzRFPOKzeNvbNyy1QPBveamvVBj0vLJvxyOrHJmeTkmXCws6GauxONa7pT08Op3D5odxyZScqwp11Uvf9tHdTny7uh2vVp9O+YkpnLyYtpxKZkkZaVh6OdDV6ujgT6uFKvqmuZA6t6wFipGxgYGFQgSmvUjTx1AwMDgwqEYdQNDAwMKhAWz1MXQsQDlnCqewMWbl5hccr7eyjv+qH8vwdDv/ZY6j3UkVJWLemLLG7ULYUQ4kBp/E16ory/h/KuH8r/ezD0a4/e3oPhfjEwMDCoQBhG3cDAwKACUZ6N+tdaCzAD5f09lHf9UP7fg6Ffe3T1HsqtT93AwMDA4L+U55W6gYGBgcG/MIy6gYGBQQWiXBt1IcQEIcQeIcRqIYSD1npKgxDiVSHEBq11lAYhxI+F93+ZEMJOaz3FRQjhJIRYIYQIFUL8LMppI5ryev9vpDx//kGfNqjcGnUhRF2giZSyPbAa8NNYUokRQtQBHtZaR2kQQnQG7ArvvzvQR2NJJWE0ECulDAEqA7011lNiyvn9B8r35x/0a4PKrVEHegKVhRDbgC7AWY31lIaPgTe0FlFK4lD6ofx9ju4C1hf+vAnooaGW0lKe7/81yvPnH3Rqg8rNlu0mbYA7At9LKYcIIXYDnYHtmogrBjfRXxP4GTipjaKScYs2zMMBE7BOG2WlwgtILfw5DSjGiB99IaU8DVBO7z9CiAeAUMrJ578IqgLxerNB5caoSymfvfHvQojngUqFfz0D+FpdVAm4if5fUd/0fYGGQojnpZSfaSKuGPxbP4AQYgjwIjBYSplvfVWlJgHwKPzZg3Lae6Qc33+AQUBtysnnvwjSgIjCn3Vjg8rrtg3gIHCt30J91E0tN0gpH5BSdgbuAw6Wtw+0EKI6MB4YJKVM11pPCdnI3z7ou4DNGmopFeX8/pf7z38hurRB5daoSyl3A4lCiP1AhJRyn9aa7jAeBmoAa4UQO4QQY7UWVALmA75CiKNAEsrIlzfK8/2vEOjVBhkVpQYGBgYViHK7UjcwMDAw+C+GUTcwMDCoQBhG3cDAwKACYRh1AwMDgwqExfPUvb29pb+/v6UvY2BgYFChOHjwYEJpZpSW2qgLIeyBxVLKwbc6zt/fnwMHDpT2MgYGBgZ3JEKIc6V5XamMuhDCGdgLNCjN6w0MDAwMLEOpjLqUMgsIFkJE3vbgnDQ4vxfca4KHH+iky6mUkqSMXM4nZZKRU0CBlLg72eHr6UxVN0fKaTdWg9tRkAcp5yH9EhTkgrAFVx/wrA0OLlqru052XgExSZnEX80hv0Bib2tDNXdHfCs742hnq7U8A0sgJWQkQMo5ZTdLiUV86kKIJ4EnAVrVsIHvCiuyHVyhdnuo1xOajgS3apa4fJFk5uaz/mQcG8KusOdMIvHpOTc9rnIle9oGVOGuRj70b1YDdyd7q+o0MDPxEXByKZxeD5dCoeAm/+7CBnwaQ0A3CBqsPqdW/GKXUnI4JoW1Jy6z7VQCp+LSKTD9tzDQ3lbQpKYHXQK9GRhcg0bV3a2m0cAC5KRD2HI4tRaid0Bm2dsQlamiVAgRKaWsf6tjWgcHyQOLP1Wro7gTcHY7JESoFVKjAdD5FfBtVWoNxeFCShbztp/l9/3nycgtoKqbIx3redHM14M6Xi54ONtjIyA1K4+YpExOXExjZ2QCF1OzcbSzYWjzmjzTvT4B3vpZyRncBikhfCXs/j84vwsQ6nNWuz1UawJuNcDeWa3cr8ZBwimI2QfndqoVvHdDaPcUtBgDdpabfZBXYGLJoQt8t/Ms4ZfTsbcVtPGvQsvalQms5kpVN0cc7WzIyTNxKTWbU1fSORidzKHzyZgktKjtyWOdAxjQtAY2NsbustyQHA07P4HQBZCXCW41oW53qBEMlQPAyQPh3/GglLL17U71byxv1Fu3lv8JlMafgiPz4eD3kJ0KjQZBn+lQpW6ptdyMtOw8/m9TJN/vjMYkJUNCajKqTS3a+Fe57QMgpeRobCq/H4jhz4Ox5BWYGNWmFuP6NMTL1dGsOg3MzPm9sOZ1uHgIPOtAm8cheFTxdobZaRC+AvZ9DRcPK7dMr6nQZITZV+7rTlxmxqowziVmElTDnYc61GFgcPF2hglXc1geepEfd0UTnZhJ4xruTB4URMd63mbVaGBmMpNg60zY/63aHQbfCy0eglpt//P5EkKUI6N+jZx02PMl7PgITPlw12To8BzYlN1nuCk8jkmLjxOXns3Iln680rsBvp7OpTpXfHoOn2+J5Kfd53B1tGPakCYMbV7T8LvrjZyrsG6yWiy4+0KPSRB8H9iWwssoJURthA3T4PJR5TIc8omKC5WRK+nZTFp8nA1hcTSo5sr4vo3oFeRTqs+TySRZFnqRD9dFEJucxd2t/HhrUGM8nA2Xoe44uQxWvAJZSdDyYeg2QcUai0ATo14cbmnUr5F2CVa+BhEroU4nuPs7cKtequvl5Bfw7sowftx9jobV3Jh1dzAhtTxLda5/czounYl/HuXQ+RQGBdfg/ZHBuDqWm5b0FZuLh2HRWEg6qxYG3d8AR9eyn9dUoFZVG6aBrT0M+RQaDyn16TaHX+G1P0LJyMnntT4NeLRTAPa2Za8BzM4r4JONp/l62xmquTvxyf0taFWncpnPa2AGcjNh1Xg48gvUCIGh/wfVm932ZeXbqINaGYX+BitfVQHVUT8r/2cJSLiaw2M/HiA0JoXHOgcwoV9Ds2cKFJgkX26NYva6COpWdeXrMa2oW9UMxsOg9BxZAMtfAhdvGPEN+Hcy/zUSo+DPx5VLp/OrcNdbYFN8Y2wyST7bHMmc9acIquHOJ/c1J7Cam9llHj6fzAsLDnM5NZt3hjblgXa1zX4NgxKQfA5+exDijkPXcdBtolocFIPyb9SvcSVM3YTUWBj+hcqSKQbRCRk8/P0+4tKymTuqBf2alm6lX1x2RSbw/ILDmKTk24da09q/ikWvZ3ATpIRN/4PtH4J/F7jnR3Dxstz18nNh1Tg49KPKkBk5D+xuH1/JLzAx8c9j/HkoluEtfHlvRDOc7C2XlpialcdLvx1mS0Q8j3UOYPLAIMNVqAUXDsKv96lsq5HzILBk881La9T11/vFJwge36AyFRaNhYM/3PYlR2NTGPnFLtKy8ljwRHuLG3SAjvW9WfJsR6pUcuCBb/eyJeKKxa9pcAOmAlj+ojLoLR+CMUssa9BBZcEM/hj6vqvS0Bbcr7bWtyAnv4Dnfz3Mn4dieaVXA+bcG2JRgw7g4WzPvIfb8EhHf+btOMukJccw3SQ90sCCRO+EHwarDKvH1pfYoJcF/Rl1gEpV1EMa2Edtqw98X+She84kct/Xe3B2sOXPZzrSorb1/Ih1vFz485mOBPq48uTPB9l6Kt5q176jMZlg2Ytw6CfoMg4Gf1LsLW2ZEUL57Id8ClGbYP7dKmPmJmTm5vP4jwdYc+IyUwY15qVegVZbMdvaCN4e3JjnetRjwb4Yxv0RSn6BySrXvuOJ3gnz7wEPX3hsHVS17lxzfRp1AHsnGPWLMuwrXoYD3/3nkKOxKTz+4wFqejqz+JmOmvi2K7s4MP/xdtSv6soTPx1gm2HYLYuUygVy5Bfln+z5ljZVyi0fgpHfQsxe+HmYyuS6gey8Ah79fj87IxOYdXcwYzsHWF2iEILxfRsxrk8DFh++wEu/HTEMu6WJ3qG+6D384OEVpU74KAv6Neqg/JWjfoHAvioV6PD86//rdFw6D3+3D89K9vzyWDt83J00k+lZSRn2eoWGfVdUuRxOr3+kVCmLB+ZBxxdVhouWNLsb7v0JLh6BhQ+pQiZUMP3l346w92wSH41qzr2ta2kq8/m7AnlzQBArj13iraUnMEZYWoiY/YUr9FrwyAqrV8xfQ99GHQoN+89Qt4fyoUZtJiYpk9Hz9mJna8Mvj7Wjuod2Bv0a11bs/l4uPPXzQU7HlbsB7/pn+4ew+zNo+yT0fkcffYQaDVR+9qhNsOwFpMnElKXHr7tchjb31VohAE90rcuz3euxYN95Ptt0+5ZNBiUk6SwsuA9cqymD7uqjmRT9G3VQhv3eH8G7AXLhGN7+dhHZeSZ+fqwt/joq3a/i4sB3j7bByd6WR3/YX2RvGYNScHKpynRpdi/0m6kPg36NlmOgx5sQuoAD373C/L3nebpbPU1cLrdifN+GjGjhy+z1p/jjQIzWcioOmUlqhS4L4MFFmhp0KC9GHcDJg4L7fyc1357pGdOYN7K2LpsZ+Xo6M+/h1iRczeGJnw6QnVegtaTyz8UjsPgp8GurApQlyA+3Gl3HE+0/ijaxPzAr4AgT+1k3OFYchBC8PzKYzvW9eWPxMXacNtyEZSY/B34fozor3vcreN+ywN4q6PDpKJoP9mQyOvNVqtldpfXuZ9UN1SHBfp7MHdWC0NgUXvsj1PBhloW0Syp10MUb7puvAug6JOxyOgOjhnHEoSX3XJmLuHBIa0k3xcHOhi9Gt6RuVRdeWHCI2ORbp2Qa3IaVr8K5HTD0c6jTUWs1QDky6kuPXODLrVEEt+2O3chvVGL/2klayyqSfk2rM6FvI1YevcR3O6O1llM+yc+F3x9UTd/u/03zbW1RpGbm8dTPB3F1dsD38fkIt+qwcAxc1WcmlJuTPV+ObkV+geTZ+YeM3WRpOfQTHP5FpdUG36O1muuUC6MefjmNCYuO0ta/ClMHN1G9Nzo8r3pyHP1Da3lF8nS3uvRuXI33VoVx8Fyy1nLKH+unqC/v4V9C9aZaq7kpBSbJS78f5lJqFp8/2IqqPjVVxlZmIix6FArytZZ4U+pWdWX2vSEcjU1l2vITWsspf1w6CivHqXa5PfS1uNS9Uc/Mzef5Xw/j5mTP/z3YEge7Qsm9pkLtDioj5kq4phqLQgjBh/eEUMPTied/PURSRq7WksoPYStg7xfQ7pkyNdCyNJ9timRLRDxThzT5u4FWjRCVERO9HTZO1VTfrejTpPr14qTf95/XWk75IStFpbBW8lLl/2boKmtOdG/U31l+kqj4q8wd1Zyqbjf02bC1h7u/VyPIFo5RbVd1iIezPV882IrEjFxe/v2IUa5dHJKjYemzULOFSl3UKQeik/h44ymGt/Dlgbb/apwVch+0Hgu7PoXIjdoILAav9m5I5/reTFl6gsgrRhrubZESlj4HqTFwzw8q1qMzdG3Ul4Ve5Lf9MTzTrR6dA29y89xrqDa9Cad17V9v6uvB24Mbs+1UPN/uOKO1HH2Tnwt/PAoS9aVtwalDZUE1zTqCX+VKvDO0yc3L//u+C1UbwV/PqNmTOsTWRjDn3hBcHO14ccERcvIN//otOfi9GqLSaxrUbqe1mpuiW6N+PjGTSYuP0bK2J6/0blD0gQFdodOLqnNe+CrrCSwhD7StTd8m1fhw7SnCLpV+qGyFZ+tM1d526KdQRV953teQUvLmkmPEpWXzyf0tcCtqUpG9s9qeZyXD0ufVKk+H+Lg7MWtkMCcvpTF73Smt5eiXhEhY+6YqhGz/rNZqikSXRr3AJHntjyMIAZ/c3+L2QwR6vKmazi97Aa7qs1uiEIJ3hzfD3dmeV34/YmQc3IyY/bBjDjQfDY2Haq2mSP48dIEVRy/xSu8GNL/dAJbqTZUL6dRqFdjXKb0aV2N0+9p8ve2Mkb9+MwryYMmTqhBy2Bf6rJUoRJfKvt95lv3RyUwd3AS/ypVu/wI7RzUcISddGXadroi8XB354O5gwi+nM3tdhNZy9EVuBix5Ctz9oN97WqspktjkTN5eepx2AVV4ulu94r2o3dNQv5fqW5Nw2rICy8CbAxpTr6oLry48QkqmEdT/B9s+UJlYg+Yqt6+O0Z1Rj7ySzqy1EfRuXI0RLUvQN8MnCHpPg1NrlCtGp/Ro5MOD7Wrz7Y6zRuOvG1n/NiRFwbDPwUl/lcKg3C5vLD4GwIf3hGB7m+Hl1xFCFafYOakgm0mfuzRnB1s+vq8FSRm5TFt+Ums5+iH2AGz7EELuhybDtFZzW3Rl1PMLTLy6MBQXB1veHd6s5L2n2z6lfOxrJ6vJSTrlzYFB+Hu5MGHRUTJz9ZnHbFWiNsH+b6D9cxDQRWs1RbJgXwzbTyfwxoAgalUpxg7yRtyqwYAPVKvePV9YRqAZaOrrwbM96rPk8AU2nIzTWo725OfAX8+CWw3oP1NrNcVCV0b9y61RHI1N5X/Dmv0zfbG42Nio3iCyAJa/rFs3TCUHO94f0YzY5Cw+WHuHu2Fy0tXAC+8Gqje6TolNzmTGypN0rOfFg6Wd+9nsHmg4ADZNV0E3nfJ8j/o0qu7GpCXHSM3M01qOtmydBQkRqu7AyUNrNcVCN0Y98spVPtkYycDgGgwMLoPPqrI/9HwbItfD0d/Nps/ctKvrxZj2dfhhVzQHzyVpLUc7Nk5Xu6ohn6lsER1yo9tl5sjg0k8vEgIGfaRiQDp2wzjY2fDB3SEkZuQyfeUd7Ia5FAo7PoKQByCwl9Zqio0ujLrJJJm0+BhO9jaqDUBZafsk1GoHqydCun63kBP7N6KmhzMTFh29M7NhYvbBvq/Vv5dOc35BZbtsP53A66Vxu/wbt+rQfxbE7IF935hHoAVo5ufB093qsuhgLJvvxPm7BXnqi7eSF/SdobWaEqELo77wQAz7opN4c2BQ6dwu/8bGRq388rJg1WtlP5+FcHW0490RzYiKz+DTTfrNirAI+Tkqd9vDD3pO0VpNkaRm5vHeqjBa1vbkwX9XjZaW4FEqG2bTdEi9YJ5zWoAXewZS38eVyUuO33mxn12fwOVjMGiOmplcjtDcqMen5/DuqjDaBlQx79ivqg2g+0Q19T1itfnOa2a6NajKyJZ+fLn1DBGX76Ay7W0fKl/loLngaP3ZssXlw3URJGfmMn1YU2yKm+1yO4SAgbOV+2X1BPOc0wI42tkyY1hTLqRk8fHGO2jRkRytfOlBQyBosNZqSozmRv2dFSfJzjOVLtvldnR4QZVpr5qg8qB1yuSBQbg72TH5r2N3Rm+Y+FPKVxk8Ste+ymOxqfyy9xwPdfCnSU0zB8kq+0O3CarkXMeV0O3qenFPKz/mbT9L+OU7pBJ6zRsgbKHf+1orKRWaGvXN4VdYHnqR53rUp76PBVZrdg4wcA6knlffvDqlsosDbwwIYn90MosO6jcV0yxICavHg30l6KNfX6XJJJm89DheLo682ucWbSrKQscXwKcxrBqv24Z0AG8MCMLNyY5Ji++ARUfEGohYpXb5HvqYL1tSNDPqmbn5TP7rOPWquvB097qWu5B/J1V2vvsziNNvJP/uln608a/Mu6vDKnaL3pN/wZktKn3RtarWaorkt/0xhMakFO6iiujtUlZs7ZX7KS0Wtui3iraKiwOTBgRx6HwKv+2vwLNN87KUO6xqI133drkdmhn1j9af4kJKFu+NCMbRzsL9iHu/A47uavSUyWTZa5USGxvB/4Y142p2Pu+vDtNajmXIuQprJkH1YNWWVqckZeQya2047etWYWjzmpa9WO120OoRVZB06ahlr1UG7m7lR7uAKry/OqziDlTf8ZGaNTrgQ/WFW07RxKiHX07ju53R3NemFm0DrBBZdvGCPtPh/G44Mt/y1yslDau78XiXuiw8EMu+sxUwd33bLEi/qIKEOhsscCMzV4dzNTuf6UObmj/OczN6TVUZFite1m3uuhCCGcObkZVXwIyKmLueGAU75qoCMR1XNRcHqxt1KSVTlp7AzcmOif0aWe/CIQ9A7Y6w/i3ISLTedUvIiz3r4+vpzOS/jpFXoM9dRamIj4Dd/wctRkOttlqrKZKD55L5/UAMj3UOILCam3Uu6lwZ+r6nGkYd+M461ywF9X1ceaZbPf46crFidXKUUtW02DpAn/9prabMWN2oLz1ykX1nk5jQtxGVXaw4AMHGRuWc5qQrw65TKjnYMW1IE07FXWXejrNayzEPUsKqcWpKVa9pWqspkvwCE2/9dZwaHk682DPQuhdvdread7lxum7bRwM826M+/l6VeGvp8YozUCN8papA7zFJFYeVc6xq1NOz85ixKowQPw9GtTFjTnpx8QlSGQdH5sP5Pda/fjHp1bgafRpXY+6GU8QmZ2otp+wc/xPOblNFRjoc/3WNX/ac4+SlNN4a1BgXRzvrXlwI5cvNy1QDt3WKk70tU4c04WxCBt9sqwBTvHIzYc3r4NNEVTZXAKxq1OduOE3C1RzeGdq0+G1LzU3X8eBRC1a+pttJ7wBvD1HtEv63opwHTXPS1bSYGs2h1aNaqymSK2nZzF53ii6B3vRvqtFqzTtQTfEKXQDRO7XRUAy6N/Shf9PqfLopkpikcr7o2P6hmjc68EOwtfIXuYWwmlGPuJzOD7uiua9NbUJuNy3Gkji4qCEMccdVu1ed4uvpzAt3BbLmxGW2lOfeG1veh6txql5Ax8HRd1eFkZNv4h1rBUeLoss48KhduOjQb4fEtwY1xtZGMG35Ca2llJ6ESNj5ieqTXqej1mrMhlWMugqOHsfNyY4JfRta45K3ptGgwt4bMyD9stZqiuTxLgEEeLswddmJ8um/jDupUvVaPgR+rbRWUyS7oxL568hFnupWlwBvF23FOFSC/u9DfBjs/VJbLbegpqczL/UMZEPYFdaXx77r1+I89pVUynMFwipGfVnoRfZqERwtCiFUp7yCXDViTKc42in/ZXRiZvnzX0qpKiWd3FUrZJ2SV2BiytLj+FV25tnu9bWWo2g4AAL7ql1O2kWt1RTJ2M4BBPq4MnXZCbJyy9mi4+RSOLMZ7poMrj5aqzErJTbqQggnIcQKIUSoEOJncZu9qklKZqwMI1ir4GhReNWDzi/DsT/g7Hat1RRJtwZV6d+0Op9tLmf+y2OL4NwOZdBdvLRWUyTf7TjL6StXmTq4Cc4OOnEPCaGm7JjyYe0krdUUib2tDe8MVQ2//m+zfod+/Iecq6q/S/Vmui6CKy2lWamPBmKllCFAZaD3rQ6OS8sh/moO07UMjhZF51fAs47ahunYfzl5UGMEgukryknRR3YarHsTarZUrhedcilVdR/sFeRDr8bVtJbzT6oEQJfX4MQSNe5Pp3So58XwFr58ve0MZ+L127/mH1wvgptTYYKjN1Iao34XsL7w501Aj1sdnHg1h/va1NI2OFoU9s7KDRMfDns+11pNkfh6OvNCz/qsOxnH5vByEDTd8r7KtR74oa6Do9NXnKTAJHnbHINZLEHHF6FKXVg5TvWf1ylvDGiEo50NU5aeQOp0hOR1ykkR3LZT8aV+bWmMuheQWvhzGvCfOn8hxJNCiANCiAMCGN/XipWjJaVhP+XD3DJT1wMLHu9cl7pVXZi6/IS+pyTFnVABvlaPgK9+g6PbTsWz6thlnu9Rv+zTjCyFvZMaVp0UpYY26BQfNyde69OAHZEJrDx2SWs5RSOlyipycNV1EVx6dh7j/ggt9etLY9QTgGvNpT0K//4PpJRfSylbSylb1/NxpYoegqO3ot97ali1jv2XDnY2TBvShHN6DppKqVaVTh66nmaUk1/A28tOEODtwpPdLNgh1BzU76WGNWybDcnntFZTJKPb16FJTXemrzjJ1Ryd1n8c/xOit+u+CO7TTZFcKUPTtNIY9Y1An8Kf7wI23+pgJ3v9br+vU9lf5Qef/AsiN2qtpki6BFZlYLMa+g2aHl0I53f93aBKp3y99QxnEzKYNqSJ5TuEmoN+74GwUZWPOsXO1obpw5oSl5bDxxtOaS3nv2SnqSK4mi3ULlKnnI5L57sdZxlVhilwpTHq8wFfIcRRIAll5Ms/nQr9l6sn6Np/OXlQELY2gnf0FjTNTlXpob6toMUYrdUUSUxSJp9tjmRAs+p0baDffu7/wMNPDW2IWKXr0Ywta1fmvja1+G5ntP6mJG2dWVgEp98OoVJK3l52gkoOtkzoV/p6nhIbdSlljpRykJQyWEo5Ruo+MlJM7ByV/zIxEnZ9qrWaIqnh4cyLPQNZfzKOTeE6KvrY/B5kxBc+NJpPSSySactPYGsjeGtQY62llIz2z6rhDasnqH4lOmViv0a4O9kx5S8dBU3jTqgiuFYP6zrOs+rYZXZFJTKub0O8XB1LfR79Pn1acN1/+aGu/ZdjOwVQr6oLU5ed1EfQ9PIx2PeVyvmt2UJrNUWy4WQcG8Ku8FLPQGp4OGstp2TY2quGXynnYcccrdUUSWUXByb2a8S+6CQWH9JB4sE/4jz6LYLLyMnnfytP0riGOw+2q1Omc2mSpJmXl0dsbCzZ2dlaXP7WNJ0AdR6CqPPgYvkVkZOTE35+ftjbF3/SigqaNmX0vL18tfUML/WycpvYG7n20DhXVtV5OiUrt4Cpy08Q6OPK2M4BWsspHQFdoNm9sPNj1a/Eq57Wim7Kva1r8fuBGN5dFUavoGp4VNJwitC1OM/gT3Qd5/lscySXUrP57IEWZa7n0cSox8bG4ubmhr+/v7bNk4oi3UcVJ1Spqb7hLYSUksTERGJjYwkIKJmh6RzozcDgGny+JZLhLXyp7aVRWl7oAojZA0M+0/VD8/mWSGKTs1jwRHvsbcvxBrXP/+DUGlUwN3qxqj7VGTY2gulDmzLksx18uC6C6cOaaiMkK6UwztNa13GeM/FX+Xb7GUa29KNVnbI/Q5p8urOzs/Hy8tKnQQc1ENnOEVJjLTrTVAiBl5dXqXcskwdeC5pq1CkvM0k9NH5tofmD2mgoBmcTMvhq6xmGt/ClQz39tiwoFm7V1I4oapPK1tIpTX09eKiDP7/sPcex2NTbv8ASbHkPMhN0Hee5Fhx1srPl9f7mqefR7J3q1qCDSh/zqKUafl21bDCyLPehhsffnfI2aNEpb+M0tRoa9JGuH5opS4/jaGfDGwN0XARXElo/pvqWrJmk+tXrlFf7NMDLxZHJfx2jwGTloOnFI7Dva3Wvaja37rVLwIqjl9h+OoFX+zSgqlvpg6M3os8nUQ84uoFTZWXUdZzi+GinAOr7uDJthZUrTWP2wcEfoP0zUF2j7XUxuPbQvNanAT5uTlrLMQ+2dqpvSfpFlaqnU9yd7HlzYCNCY1P5bf95613YVKCGeLtUhZ76HV2Zlp3HOytO0qxwV2MuDKN+KzxqKp9laqwKCOoQBzsb3hnShJikLL7YEmWdixbkw4pXwd0Xuuu3ICY1K49py08S7OfBGDM+NLqgVlvlJ97zBVzR73SsYc19aRdQhVlrIki8aqXF0f55cPGwKtqyYEysrMxeq+7Ju8ObmbXZoWHU/0XHjjdMQLF1ALcakJOmimsKycrKolu3bhQUFL0yzs3NpWvXruTnW75kumN9bwaH1OSLrVGcS8yw+PXY9xXEHYN+76sdjU6ZtSacpAzzPzS6odc0df9XvqbbRYcQgv8Na0pGTj4z14Rb/oJpl2DjO1DvLmgywvLXKyWhMSn8tOccD3Xwp5mfeb94DKP+L3bt2vXPX7h4g50TpF1Q2zrgu+++Y8SIEdjaFl2Z5uDgQM+ePfn9998tKfc6bw4Iwt5GMHWZhYs+Ui/A5nchsA8EDbbcdcrIwXPJzN97nrGdAmjqq9/VWplw8VK51+d2wlHrfM5KQ2A1Nx7rHMDCA7EciE6y7MXWvA6mPBUc1WncLr/AxKQlx6jq6sirfRqY/fx3rFHPyMhg4MCBhISE0LRp0+vG19XVlejoaIKCgnjiiSdo0rQZfR54nqyradeDpvPnz2fo0KHXz9WjRw/Wr1fdiCdPnsyLL74IwLBhw5g/f75V3k91Dyde7tWAzRHxlh0vtuZ1Nbyh/yzdPjR5BSYmLT5GTQ8nXult/odGV7QsrJJcN1kFrXXKiz0DqeHhxOS/jpNfYKGMstPrVUZQ13Gq5YdO+XnPOU5cTOPtwU1wdzJ/Dr/mHeKnLT/ByYvm7RPRuKb7bXtkr1mzhpo1a7Jy5UoAUlP/mXZ1+vRpFixYwDfffMO9997Lnxv2MnqwM7m2rpw5cwZ/f/+/38O0aUyZMoUrV65w+PBhli1bBkDTpk3Zv3+/Wd/brXikkz+LDsYyZekJOtTzws3cH5hT6yBsGdz1lhrioFO+3X6WiLh0vn2oNS6Omn/ELYuNjQqaftMDNs9QrS50iIujHVMGNeaZ+Yf4afc58xeA5WbCylfBu4HqQ69TLqdmM3vdKbo1qMqAZtUtco07dqXerFkzNmzYwMSJE9m+fTseHv/cogcEBNC8eXMAWrVqRXRcKggbEs4ew9PT8x/Hdu3aFSklc+bM4bfffrvulrG1tcXBwYH0dOukndnb2vD+yGbEpWeb33+Zkw4rXgHvhrp+aM4nZvLxxlP0a1Jdf9OMLEXN5ip1b/+3KpVPp/RrqpqozVl/irg0M1eTb/tAtVAY9JGqMdEp05afIK/AxPShTS2W1q35MkarqTMNGjTg4MGDrFq1ijfeeIM+ffowZcrfPcAdHf/+YNja2pJlkuBWA+fkZLKz/tk+4NixY1y6dAlvb2/c3P4ZOMzJycHJyXqpdC1qV+bRjgF8t/MsQ5v70sbfTFWeG6apuMJj68BOn/3xpZS8tfQ4djY2TB2i02lGluKuycr1sPI1eGy9LusGhBC8M6QJfeZuY8bKMD6530x9gi4dVUNEmj8I/p3Nc04LsPrYJVYfv8z4vg0tWgGuv395K3Hx4kUqVarE6NGjGTduHIcOHbr9i1y8qVy1BgV5uWRnqNX3pUuXePDBB1m6dCkuLi6sXbv2+uGJiYlUrVq1RH1dzMFrfRrg6+nMxD+Pmid3/dwu2P+NyknX8QiwxYcusPVUPOP6NKC6RwXJSS8uzp7QezpcOAAH5mmtpkj8vV14uls9loVeZMfp/8zXKTkFebD0WajkpVoo6JTkjFzeWnqCpr7uPNnVsv7+O9aoHzt2jLZt29K8eXNmzJjB5MnFaEYlBHjWpk+39uxY+xeZGRmMGDGC2bNnExQUxFtvvcXUqVOvH75582YGDBhguTdRBC6Odrw3ohln4jP4bFMZp7znZcGyF8Cztq4bdsWlZTNt+Qna+Fc2ayFHuSLkPqjbA9a/DcnRWqspkme71yPA24WJfx4t+5SkHR+pLqED5+i699D0FSdJycxl1sgQy/ceklJa9E+rVq3kvzl58uR/fleeOLRjvRw9YoCUGYm3PG748OEyPDz8tuez1P149fcjsu4bK2VoTHLpT7L+bSnfdpcycpO5ZJkdk8kkx36/TzacvEqeib+qtRxtST4v5QxfKb8fKGVBgdZqiuRAdKL0f32FfP3Po6U/yeXjUk7zknLhI+YTZgE2hl2WdSaukLPXRZTodcABWQqbe8eu1MtCi4496dG1EwVJ59T27ybk5uYybNgwGjYs/QSTsjJlcGOVC7swtHRumJh9qs1rizFQr4f5BZqJxYcusDH8CuP7NiLA20VrOdriWQv6zlCzOHXshmlVpwpPdKnLgn3n2XYqvuQnKMiHv55VFaM6zfgBVdU8afFxGlZz4/ke9a1yTcOolwYhGPvsK6pKMSXmptV8Dg4OPPTQQxqI+xsPZ3tm3R1M5JWrfLA2omQvzrkKi59Uo9T6vmsZgWbgRrfLox39tZajD1o+BPV6wvopkKTTIeXAq70bUK+qcsOkZd98cVQkO+bApSMwYJauh0hPWXqc+Ks5fHBPMA521jG3hlEvLfbO4F4DclIhM1FrNUXStUFVxrSvw3c7z7LnTAl0rntT+WWHfwVO7hbTVxZMJsm4P0LJLTAx6+4QbCpiK4DSIAQM+QRs7GDJM2pVq0Oc7G2ZfW9z4tKyeWd5CWbuxuyHLe9D07uh6UjLCSwjS49cYOmRi7zUM5BgP0+rXdcw6mXBxQccXFWqX54OpzgV8saARtSpUolxf4SSXpwVUcQa1YGx04tQp+NtD9eKeTvOsv10AlMGNTHcLv/Gw0+5JWL2wPYPtVZTJM1refJcj/osOhjL8tCLt39BTjosfgLca6pWADolNjmTyX8dp1Wdyjzb3boTqgyjXhaEAM86gICUcyAtN1CjLFRysGP2vSFcSs1m0pLjt+4NczVeZbtUawo93rSeyBJy/EIqs9aG07dJNe5vW0trOfok5D41/m7rTDi3W2s1RfJiz0Ba1vZk0uJjxCTdZoTkmtf/3kE6e1pDXokpMEleWxiKyST56N7m2Fl50pZh1MuKnYMKTuVlQvplrdUUSas6VXi1dwOWh17kt/0xNz/IVACLH1cdKYd/pdvKvMzcfF5ccBgvF0feHxGs74ErWjNwtkpHXfwEZCVrream2Nva8PF9qhDpxd8Ok1dUb5iTS+HwL9D5FfDvZEWFJePLrVHsPZvE1CFNNBkzaRh1c+BcWeXIXo2DbPP2sTEnz3SrR5dAb6YuO0H45Zvo3PYBnNmitu06HnwxddkJziZmMGdUCJVd9Fndqhuc3GHkPEi/BMtf1m2L3lpVKvHuiGYcPp/CxxtO//eAxChY+jzUbAHd37C+wGKyKyqB2esiGBhcg7tb+WmiwTDq5sLdD+yc1dZQp5OSbGwEc+5tjruzPc/NP0TGjYUfUZtV8Cn4PpU9oVN+3XuehQdiebZ7PTrW02/Wg67wa61caSf/gr1faq2mSAaH1GRU61r835ZINkdc+ft/5GbA72PAxhbu/Um3bSri0rJ5ccFh/L1dmDlSux2kYdTNhY3t350Lk89adGB1Wajq5sjHo5pzJiGD1xcfU/71tEvw5+NQtSEMmqPblrqHzifz9rLjdAn05tXe2uX/l0s6vQyNBsHaN+HsNq3VFMnUIU0Iqu7OiwsOczYhQ+0sVrwCV07CyG+VK0mH5BWYeG7+ITJzC/hqdCtcNewOahj1MvCfCUh2jlC5jiqtT4sFrDsBqbh0rO/N+L4NWR56kS83HIffR6uYwD0/goM+s0iupGfzzC8Hqe7hxKf3t6iYk4wsiY0NDPsCvOrBH4+ojoY6xNnBlq/GtMLORvDETwfI3v21GgDS/Q2o30treUXy/upwDpxL5r0RzQispu00MMOol4GbTkBy8gDXaip3/eoVq09AKi7PdKvH8JDq1No2DnnhIIz4GnwaaS3rpuTmm3h+/mFSs/L4anRrPCvpc/ute5zc4b5fVRX076PV4kOH1KpSif97oCU1Evdit24Ssn4f6Dpea1lF8uve88zbcZZHOvoztLmv1nLubKP+008/ERwcTEhICGPGjAFgzpw5NG3alKZNmzJ37lyg6ClJRU5AcqvB5Nnf8uJLL0FWilUnIBUXIQQfeK9kkO0eZpvu54RHV60l3RSTSTJ+USj7opOYOTKYxjX1WQhVbvAOVF/gl0JVRozJDF08LUBHtzjmOX1MlKk6H3tO0GUrYYDNEVd4a+lxujesyuSBQVrLAXTQT53Vr6sua+akejPo//4tDzlx4gQzZsxg586deHt7k5SUxMGDB/n+++/Zu3cvUkratWtHt27dOHPmzH+mJOXm5t56AlLYWZZ99yEkR9M0MMCqE5CKxZEF2O2cTVbT+/nz1Ej+/PEAfzzdAb/K1k/BuhXvrgpj6ZGLjO/bUBeroApBw/7Q9z1Y+4bqvz7oI33FUVIvwPx7sK/kxhLfj/lyxxXcPM/ymLmnJZWR4xdSeW7+IRpVd+OzB1paPR+9KPShQgM2bdrE3Xffjbe3yqCoUqUKO3bsYPjw4bi4uODq6sqIESPYvn37TackJSQk3HoC0u+/Y1s1EGwdsE09h4ODvdUmIN2W8JWw7Hnw74LzsE+Y90hbMnLyefDbveafSFMGvt4Wxbc7zvJwhzpWr8qr8HR4VuV7H/wetryntZq/yU6FX++F7DTEg38w/t6e9G9anekrTrL4UKzW6q4Tk5TJ2B/24+lsz3ePtNE0MPpvtFdymxW1pZBS/iflqKhKy5tNSXrhhRfIzv6nAbzpBCSvupBwmpysLJxsb3JyaxOxBhY+DDVC4L75YOdA45oO/DC2LWO+3cvob/fy25Pt8XLVtvBo4YEY3l0VzsBmNZgyuIlRYGQJer4NGfGq4rSSN7R7Uls9Wcnwy0iID4cHFkL1ZtgCc+9rTtoP+xm/6Cgezvb0DNJ2TOH5xEzu/2YP2XkFLHy6A9Xc9TWQ5Y5dqffs2ZOFCxeSmKiaXCUlJdG1a1f++usvMjMzycjIYMmSJXTp0uWmU5IqV65MQUHBdcNe5AQkOycSqUxVr8rYp0VrG5w6vR4WjoFqTWD0YhXULaRl7crMe6QN55Myeei7faRk5mom84edZ5mw6ChdAr2ZMyrEyHSxFELAoI+h4UBYPR52zNVOS2YS/DhEuWLv/Rnq97z+vxztbPlqTGua1HTnmV8OsfrYJc1kRidkMOrr3WTk5vPrE+1pVF2HMZ7SNGEvyR89D8n44YcfZJMmTWRwcLB8+OGHpZRSzp49WzZp0kQ2adJEfvTRR1JKKdesWSObNWsmQ0JCZOvWreX+/fullFKOHTtWrl+/XmZkZMj27dvLdevWSSml3Lp1q2zfvv316/zxxx/y1ZdflPLSMSkvHZUyN+MfOqxyP8JWSvlOVSm/6HzL4R6bw+Nk4KRVss+crfJyapbldd2AyWSSn2w4JetMXCGf+HG/zMrNt+r171jycqT841E1DGXdFClNJuteP/2KlP/XQX0+T60v8rCUjFw54vOdMuD1FfLXveesKFARdSVdtp2xXjaftlaeuJBq8etRyiEZd7RRLyuHDh2So0ePvu1x1ycg5WUpw34xVMqsvz8UFr8fe7+WcqqnlF91v+20Jiml3Hk6XjZ+a7Xs+N5GGXbJ8h9eKaXMLzDJ6ctPyDoTV8hXfjss8/L1O7WnQlKQL+Xyl5VhX/ailPl51rlu/CkpP24h5fRqUkZtvu3hmTn58pHv9so6E1fIzzadliYrfQHtPZMom09bK1u+s85qz0Rpjfod634xBy1atKBHjx5/Fx/dhH9MQLJzUilltvaQFAVXr1i2F0d+Dix/CVaNg/q94ZEVxZrj2LG+N7892YG8AhMjP9/FmuOWbVSWmpXH4z/uvx4U/fCeEN1kEtwx2NiqOZ9dXlNtl38ZDhlmGAx9K06vh297quDoQ0uhbvfbvsTZwZavH2rN8Ba+fLA2gtcWhpKVa7m0TCklv+49z+hv91K5kgN/PtNRny6XGxDSwg1+WrduLQ8cOPCP34WFhREUpI+cTk0wFageMTlp4ORB2KVMgpqYuYFWfITKQ74UqrIc7npLPbgl4HJqNk/9fIDQ2FQe7lCHNwYE4WRv3mjvvrNJvPL7Ea6kZzN1SBMebFfHrOc3KAVHflXNvyp5wfAvimVsS0R+Dmz6H+z6RLV4vu9XVYldAkwmyWebI/lowyka+Ljx0ajmZq9hSM3MY8qy4yw9cpEugd58en8Lqxa+CSEOSilbl/h1hlHXCCkh4wqkXSLsfAJBLilqiktZszzyc2D3Z7B1FthXgiGfQtCgUp8uJ7+AWWsimLfjLP5elXh3eDM61i97I6207DzmrDvFT7ujqVWlEnNHNadF7cplPq+BmbgUqvoBJZyCVo9CzynF2uXdlvN7YNmLkBABrR6Bfu+rKWKlZOupeF5bGEpqVi7Pdq/PM93rlXnhIaVk7Yk43l52nISrubzUM5DnetS3esDeakZdCGEPLJZSDi7O8YZRvw15WYQd3kPQqmHg1wbumgwB3Upu3Avy4fgi1Wkx+axq3jRwDriZJ/1rZ2QCk5Yc41xiJj0b+fBqnwY0qelx+xf+i+y8An7Zc44vt0aRmJHLmPZ1mNCvka7yfA0KyctSK+o9X6gWA51ehjaPg6Nryc8Vd1Llw4ctUx1NB8+FwN5mkZmUkcvUZSdYFnoRX09nXuxZn+Et/Eo8E1RKyb6zSXy04RR7ziTRqLobH9wdQjO/kn/OzYFVjLoQwhnYCzSQUhYrObMoo96oUSMj9xj1QQoPDycoaz9smgFXL6uK2OajofFQNQe16BcrN8vJv9TwgNQYqNYMek+1SPOj7LwCvtt5li+2RJGenU+7gCqMbOVHn8bVbrktNZkkRy+ksiL0IosOxZKSmUfHel683r+RVWc3GpSSuBOw7i2I2qjSYINHQbN7wLfVrV162amqLiJ0AZzZDPYuakRih+dL98VwG/acSWTGyjCOXUilmrsjd7fyY3BITRpWc7ulrYlPz2HN8UssOhhLaGwqXi4OvNy7Afe3qaVpbMeq7hchRKSUsn5xjr2ZUT979ixubm54eXnd0YZdSkliYiLp6ekEBASoOafHFsLeryGusHWCV31VKORZ5+8HITMJks6qaeppFwAB9XqoVVSD/hbvk5GamcfvB87z855zxCRlIQQ0rOZG45ru+Ho64+xgq75v0nM4m5DBsQupJGXkYmcj6NukOg91qEO7ul4W1WhgAWL2w76v1ASiglw1HKZGc9WyuZI32Nqp1X1KDFw5oXLOpUmtzFs/Cq3HmseFcwuklGw9Fc9Pu8+xJeIKJgk+bo408/UgwNsFz0r22NgIMnLyiUnKIuxSGqevXAWgQTVXxrSvw92tauHsoH2loEWMuhDicyD4hl9tk1JOup1RF0I8CTwJULt27Vbnzp37x//Py8sjNjb2PxWZdyJOTk74+flhb2//z/9xJRxOrYHzu9VqPDUGTIXte+2cVF/pak0hoAsE9gUP6/dFkVJyNDaVTeFXOHQ+mcgrV4lLy8ZU+JFydbTDr7IzzXw96Fjfi+4NfIxJRRWBrGSI3KhW35ePQeIZyL3WAkOoodBe9aBWe1VE5NdWk4ZcV9Ky2RIRz86oBMIvpROdmEFOvppzYCOgpqcz9X1caRfgRbcGVQmqcesVvbUpVyt1g1JgMqnVEbJMgSVLU2CS12dMmjtTxkDH5OeorC47xxJnWVmT7DyV/uhoZ6MrA34zSmvUjehUecHGBmz01WPiZtjaCGx1/FAbWAidDin/N3fCQsOo8DAwMDCoQJTKqBfX9WJgYGBgYF0sXnwkhEgHIix6EfPgDVi4LtosGDrNS3nQWR40gqHT3DSUUpZ44Kk1fOoRpXH2WxshxAFDp/kwdJqP8qARDJ3mRghRqgwTw6duYGBgUIEwjLqBgYFBBcIaRv1rK1zDHBg6zYuh03yUB41g6DQ3pdJp8UCpgYGBgYH1MNwvBgYGBhUIw6gbGBgYVCAMo25gYGBQgbCYURdC1BJCbBZChAkhTgghXrLUtUqgyUkIsU8IEVqoaVoxX/eVEKKbXt6PEKK+ECJeCBEthDgihEgSQkQJIXQ1PFFv9+1GhBD9hBARQohIIcTrWuu5HXq9l3r6LJbX59vstrI006qL8weoAbQs/NkNOAU0ttT1iqlJAK6FP9ujBn60L8brjgC+eno/wBKgS+HPW4BmWt7b8nLfCnXYAlFAXcABCNVaU3m9l4VadPFZLK/Pt7ltpcUqSqWUl4BLhT+nCyHCAF8hRC6wG8gAUoDaQDLQQkqZZik9hTokcLXwr/aFf6QQon5RmlD/2KeklBeAC/9+P8BJS2gVQmwAqt/kf70ppVwKNAGOF/6uERq0YtDjfSsmbYFIKeUZACHEb8BQLTWV43sJOvgsQvl6vv+l27y20krfRP7AecBd62921CrtCOoff+YNv7+pJuBVYOyt3o+1/wDOwPnCn2sBJ7TQUd7u2w067ga+veHvY4DPtNRUju+lbj6LhRrK9fNtDltZJp+6EGKDEOL4Tf4MveEYV+BP4GX597eLxb7Zb6dJSlkgpWwO+AFthRBNb6OpL7DmNu/H2jQGwgp/DrrhZy0oT/ftupyb/E4PBRvl8V7q6bNYrp9vc9nKMrlfpJS3nG4shLAvFDlfSrm48HfOgJOUMlkIUQtIlFLmlkVHSTTdcFyKEGIL0E8IEXUzTUKISoCnlPJiUe9HI278h84CWgohGkkpw60poqh/Sx3ft2vEolaV1/ADLmqkBSjX91IXn8V/U96eb3PaSov51IUQApgHhEkp59zwvzT7ZhdCVAXyCv/BnYFewMxbaOoBbC58bVHvx+pIKX+64eftqICfFpSr+3YD+4FAIUQAyo96H/CAtpLK573U0Wex3D7f5raVlsxT74TyVd5VmOp0RAgxgCK+2S2o40ZqAJuFEEdRD/Z6KeWKW2jqz99bs6Lez51MubxvUsp84HlgLepBWSilPKGlJsrpvdQZ5fX5NqutNHq/3AIhxCGgnZQyT2st5QnjvpkP415ajop6bw2jbmBgYFCBMNoEGBgYGFQgDKNuYGBgUIEwjLqBgYFBBcIw6gYGBgYVCMOoGxgYGFQgDKNuYGBgUIEwjLqBgYFBBcIw6gYGBgYViP8HhIjEu4gVkEMAAAAASUVORK5CYII=\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 设置刻度范围和刻度标签\n",
    "\n",
    "x = np.linspace(-2*np.pi, 2*np.pi, 200)\n",
    "y_1 = np.sin(x)\n",
    "y_2 = np.cos(x)\n",
    "\n",
    "plt.subplot(211) # 2行1列，指定第一个子图\n",
    "plt.title('正弦余弦曲线图')\n",
    "plt.plot(x,y_1, label=r'$\\sin(x)$')\n",
    "plt.plot(x,y_2,label=r'$\\cos(x)$')\n",
    "\n",
    "plt.subplot(212) # 2行1列，指定第二个子图\n",
    "# 1. 刻度以圆周率形式展示\n",
    "# 2. 设置合理的范围\n",
    "plt.xlim(-2*np.pi, 2*np.pi)\n",
    "plt.xticks([-2*np.pi, -1.5 *np.pi, -np.pi, -0.5*np.pi, 0, 0.5*np.pi, np.pi, 1.5*np.pi, 2*np.pi],\n",
    "\t\t [r'$-2π$',r'$-3\\pi/2$',r'$-\\pi$',r'$\\pi/2$',r'$0$',r'$\\pi/2$',r'$\\pi$',r'$3\\pi/2$',r'$2\\pi$'])\n",
    "\n",
    "plt.plot(x,y_1, label=r'$\\sin(x)$')\n",
    "plt.plot(x,y_2,label=r'$\\cos(x)$')\n",
    "\n",
    "plt.legend(loc='lower left')\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 设置逆序坐标轴刻度\n",
    "x = np.arange(1,11,0.5)\n",
    "y = np.power(x, 2) + 0.7\n",
    "plt.plot(x,y)\n",
    "plt.xlim(10 ,1)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[5.0, 45.0, 15.0, 35.0]]\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## 饼图下面添加表格\n",
    "# 饼图\n",
    "elements = ['简易箱','保鲜箱', '行李箱', '密封箱']\n",
    "colors = ['#e41a1c', '#377eb8', '#4daf4a', '#984ea3']\n",
    "sold_nums = [0.05, 0.45, 0.15, 0.35]\n",
    "explode = (0.1,0.1,0.1,0.1)\n",
    "wedges, texts, autotexts = plt.pie(x=sold_nums,\n",
    "\t\t\t\t\t\t\t\t\tlabels=elements,\n",
    "\t\t\t\t\t\t\t\t\tautopct=\"%3.1f%%\",  # 饼图内部显示的数字格式\n",
    "\t\t\t\t\t\t\t\t\tstartangle=60,  # 偏离角度\n",
    "\t\t\t\t\t\t\t\t\tcolors=colors,\n",
    "\t\t\t\t\t\t\t\t\texplode=explode)  # 设置偏离半径的百分比\n",
    "\n",
    "plt.legend(wedges, elements, fontsize=12, title='占比', loc='center left', bbox_to_anchor=(0.9,0,0,0))\n",
    "plt.setp(autotexts,size=15,weight='bold')\n",
    "plt.setp(texts, size=12)\n",
    "# Set a property on an artist object.\n",
    "\n",
    "# 添加表格\n",
    "col_labels = elements\n",
    "row_labels = ['销量']\n",
    "values = [np.array(sold_nums)*100]\n",
    "print([list(np.array(sold_nums)*100)])# 即\n",
    "plt.table(cellText=values,\n",
    "\tcolColours=colors,\n",
    "\tcolWidths=[0.2]*4, # 每列的宽度\n",
    "\tcolLabels=col_labels, # 每列的标签\n",
    "\trowLabels=row_labels, # 每行的标签\n",
    "\tloc='bottom', # 表格整体的位置\n",
    "\trowLoc='center', # 每行元素的样式\n",
    "\tcellLoc='center',\n",
    "    )\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}